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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 194–205 (Mi znsl1010)  
This article is cited in 2 scientific papers (total in 2 papers)

Weak convergence of measures in conservative systems

V. V. Kozlov, D. V. Treschev

M. V. Lomonosov Moscow State University
Full-text PDF (183 kB) Citations (2)
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Abstract: Families of probability measures on the phase space of a dynamical system are considered. These measures are obtained as shifts of a given measure by the phase flow. Sufficient conditions for the existence of the weak convergence of the measures as the rate of the shift tends to infinity are proposed. Existence of such a limit leads to a new interpretation of the second law of thermodynamics.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2791–2797
DOI: https://doi.org/10.1007/s10958-005-0233-9
Bibliographic databases:
Document Type: Article
UDC: 517.19
Language: English
Citation: V. V. Kozlov, D. V. Treschev, “Weak convergence of measures in conservative systems”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 194–205; J. Math. Sci. (N. Y.), 128:2 (2005), 2791–2797
Citation in format AMSBIB
\Bibitem{KozTre03}
\by V.~V.~Kozlov, D.~V.~Treschev
\paper Weak convergence of measures in conservative systems
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 194--205
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1995359}
\zmath{https://zbmath.org/?q=an:1120.37002}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2791--2797
\crossref{https://doi.org/10.1007/s10958-005-0233-9}
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  • https://www.mathnet.ru/eng/znsl/v300/p194
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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